4x-2=14x-92
4x-2=14x-92
4x-14x=92+2
-10x=94
---- --
-10 -10
x= -9.4
10 x = 90
x = 9
Oh, I'm sorry. It should be -92+2 making it 90. Sir drwls is right. Sorry Jo. I've made mistake on the sign.
To solve the equation 4x - 2 = 14x - 92, we want to isolate the variable x.
Step 1: Simplify both sides of the equation by combining like terms.
On the left side, there is only one term, 4x. On the right side, we have 14x and -92. We can combine -92 into 14x - 92.
4x - 2 = 14x - 92 becomes:
4x - 2 = 14x - 92
Step 2: Move the x terms to one side of the equation and the constant terms to the other side.
To move the 14x term to the left side, we subtract 14x from both sides of the equation.
This gives us:
4x - 14x - 2 = 14x - 14x - 92
Simplifying this further:
-10x - 2 = -92
Step 3: Move the constant term to the opposite side of the equation.
To do this, we add 2 to both sides of the equation.
This gives us:
-10x - 2 + 2 = -92 + 2
Simplifying this further:
-10x = -90
Step 4: Solve for x by dividing both sides of the equation by the coefficient of x, which is -10.
Dividing both sides by -10, we get:
-10x / -10 = -90 / -10
Simplifying this further:
x = 9
Therefore, the solution to the equation 4x - 2 = 14x - 92 is x = 9.